Answer:
a) y = 5x
b) y = 60
Step-by-step explanation:
y ∝ x
So, y = kx -----(1)
Where k is the constant of proportionality
Now, y = 30, x = 6
Putting in (1)
30 = k(6)
Dividing both sides by 6, we get
k = 5
Now, Putting k=5 in (1)
So,
a) The equation connecting x and y is :
y = 5x
b) x = 12, Putting in (1)
y = (5)(12)
y = 60
Answer:
a)y=5x
b)60
Step-by-step explanation:
it just is
Find the volume of a prism that is 5 m long, 40 cm wide, and 2500 mm high.
Answer:
5.0 [tex]m^3[/tex]
Step-by-step explanation:
The volume of a rectangular prism is given as:
V = L * W * H
where L = length
W = width
H = height
Put all the dimensions in the same unit, metre (m).
Length = 5 m
Width = 40 cm = 40 / 100 = 0.4 m
Height = 2500 mm = 2500/1000 = 2.5 m
The volume of the prism is:
V = 5 * 0.4 * 2.5 = 5.0 [tex]m^3[/tex]
Your teacher puts four slips of paper in a jar, each with a different shape. Every day,
each person chooses one paper from the jar to determine what activity they get to do
at the end of the day. After choosing, the paper is always returned to the jar.
What is the probability of choosing the paper with a circle on it?
CLEAR
CHECK
%
Answer:
The answer would be a 25% chance of picking the paper with a circle on it
Step-by-step explanation:
Since there are 4 pieces of paper there would be a 25% chance for each 25 x 4 is 100.
Simplify (3^-2)^4
Arrows mean it’s a exponent .
A.) 1/3^2
B.) 3^8
C.) 3^2
D.) 1/3^8
Answer:
D
Step-by-step explanation:
Answer:
D)1/3^8
Step-by-step explanation:
(3^-2)^4
3^-8
1/3^8
3 raised to the power of 8
1/6561 or 1/3^8
Which equation is parallel to the line y=2x+6 and passes through the point (8,1)?
y = 2x+6
y = 2x-15
y = 2x+10
y = -2x-7
The answer is y = 2x - 15
The equation of a line is y = mx +c
m = slope
c = y intercept
From this equation y=2x+6
m = 2
Since the lines are parallel their gradients are also the same
Equation of the line using point (8,1) is
y - 1 = 2(x-8)
y - 1 = 2x - 16
y = 2x - 15
Hope this helps
Answer: y=2x-15
Step-by-step explanation: Since the lines are parallel their slopes will be the same, so all you need to do is plug in (8,1) in the x and y values of the equation: y=2x+b. When you do this you get 1=2(8)+b. Simplify. The b value will be -15 which is the y-intercept so the answer is y=2x-15
The model below can be used to find the quotient of 1/2÷1/4. What is the quotient?
Step-by-step explanation:
The quotient is 0.125
I think this should be the answer
Answer:
0.125
Step-by-step explanation:
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below and to the right of the line is shaded. Which linear inequality is represented by the graph? y ≤ 2x + 4 y ≤ one-halfx + 3 y ≥ One-halfx + 3 y ≥ 2x + 3
Answer: [tex]y \leq \frac{1}{2} x+3[/tex]
Step-by-step explanation:
If a function has a positive slope, that means the y value is increasing with respect to x. As you go down the x-axis, the y value will continuously increase.
First you want to plot the two sets of coords that they gave you, or else you wont know what the line looks like. Or, you could visually do it in your head. We're going down -4 on the x-axis and down 1 on the y-axis. Then for our second coords, we are going to 0 on the x-axis, then up 3 on the y-axis.
You could plot this for yourself, but im going to do it in my head for simplicity. We also need to find the slope of this function in order for us to find the y-intercept. The slope is change in y divided by the change in x. Subtract the initial position from the final position.
3 - 1 = 2
0 - (-4) = 4
2/4 = 1/2
The new equation is:
[tex]y=\frac{1}{2} x+b\\plugin(0,3)\\3=\frac{1}{2} (0)+b\\b=3[/tex]
Everything is shaded below and to the right of the line. They said the line was solid, so that means less than or equal to, [tex]\leq[/tex]
Answer:
B
Step-by-step explanation:
Can someone help me with the below question???
Answer:
so 2a+3b=±13
Step-by-step explanation:
4a²+9b²=97
ab=6
2a+3b=?
by using formula
(a+b)²=a²+b²+2ab
(2a+3b)²=(2a)²+(3b)²+2(2a)(3b)
(2a+3b)²=4a²+9b²+12ab
putting values
(2a+3b)²=97+12(6)
(2a+3b)²=97+72
(2a+3b)²=169
taking square root on both sides
√(2a+3b)²=√169
2a+3b=±13
i hope it will help you
Answer:
2a+3b = 13
Step-by-step explanation:
Using this formula
[tex](x+y)^2 = x^2+y^2+2xy[/tex]
Where,
x = 2a and y = 3b
Putting in the above formula
=> [tex](2a+3b)^2=4a^2+9b^2+12ab[/tex]
Putting 4a²+9b² = 97 and ab = 6
=> (2a+3b)² = 97+12(6)
=> (2a+3b)² = 97+72
=> (2a+3b)² = 169
Taking sqrt on both sides
=> 2a+3b = 13
Athena is going to draw one marble from a paper sack. Inside the sack, there are 6 blue marbles, 6 black marbles, 3 green marbles, and 2 purple marble. What is the complement to the probability that she will draw a purple marble? A 16/17 B 15/17 C 13/17 D 2/7
Answer:
D. 2/17
Step-by-step explanation:
Add all of the marbles: 6 blue marbles + 6 black marbles + 3 green marbles + 2 purple marbles = 17 marbles altogether.
Since there are 2 purple marbles out of 17 marbles in the paper sack, the complement to the probability that she will draw a purple marble is 2/17.
What is the product of 6x – y and 2x – y + 2?
Answer:
12x^2 - 8xy + y^2 + 12x - 2y
Step-by-step explanation:
Calculate the lateral area of a right prism with a heptagon base side of 4 feet and a
height of 10 feet.
Answer:
280 ft2
Step-by-step explanation:
The lateral area of this prism consists of seven rectangles, each one with dimensions 4 feet by 10 feet.
The area of one of these rectangles is:
[tex]A = base * height = 4 * 10 = 40\ ft^2[/tex]
Then, the area of the seven rectangles is:
[tex]Lateral\ area = 7*A = 7*40 = 280\ ft^2[/tex]
So the lateral area of this prism is 280 ft2.
Aria and her children went into a bakery and will buy donuts and brownies. She must buy at least 6 donuts and brownies altogetherWrite an inequality that would represent the possible values for the number of donuts purchased, d, and the number of brownies purchased, b.
Answer:
Inequality for donuts and brownies is;
d ≥ 1 ≤ b
Step-by-step explanation:
We are told that aria will buy donuts and brownies.
We are also told that, number of donuts is d while number of brownies is b.
We are also told that she must by at least a total of 6 donuts and brownies together. Which means that the sum of d and b must not be 6 or greater than 6.
So the inequality will be;
d + b ≥ 6
Thus, for the donut and brownies, inequality would be; d ≥ 1 ≤ b
Answer: d+b≥6 is the correct answer trust me
PLEASE HELP MEEEEEEE THANK YOU
Choose the best answer: The solution of ? includes the entire line y = 2x + 1.
y 2x + 2
y 2x + 1
y < 2x
y 2
Answer:
the correct one is y < 2x
Step-by-step explanation:
Answer:
y 2x + 1 or B
Step-by-step explanation:
thats whats right on edge
Find the area of a triangle that has a base of 6 foot in the height of 5 foot
Answer:
15 ft²
Step-by-step explanation:
Area of a Triangle Formula: 1/2bh
We are given b and h. Simply plug them in and calculate:
1/2(5)(6)
3(5)
15
Use the point-slope form of a line to write the equation of a line that has a slope of 2 and passes through the point (–4, 3). Write the equation in slope-intercept form.
Answer:
Equation of a line y = mx + c
m = slope
m = 2
Using point ( -4,3)
Equation of the line is
y - 3 = 2(x +4)
y - 3 = 2x + 8
y = 2x + 8 + 3
y = 2x + 11
Hope this helps.
Answer:
B. Y = 2x + 11
Step-by-step explanation:
Got it right on edg.
What is an expression equivalent to
8
with a denominator of 11d.
11
Answer: 88/11.
Step-by-step explanation:
We want to find a expression, with a denominator of 11, that is equivalent to 8.
remember that if we have the expression A/B
the numerator is A, and the denominator is B.
Then we have:
A/11 = 8
we need to find the value of A.
To do this, we can multiply by 11 in both sides of the equation:
(A/11)*11 = 8*11
A = 88
Then the expression is:
88/11.
Alejandra correctly wrote the equation y - 3 = (x - 10) to represent a line that her teacher sketched. The teacher then
changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent
the new line?
O y-6 = 2(x - 10)
Oy-2 = 5(x - 10)
Oy-3 = {(x-2)
Oy-3 = 2(x - 10)
A box contains red, purple and green beads in the ratio 4:6:7 There are 1428 more green beads than red beads.
How many green beads are in the box?
Answer:
3332 green beads
Step-by-step explanation:
There are 1428 more green beads than red beads.
There are 3,332 greed beads in the box
Given :
A box contains red, purple and green beads in the ratio 4:6:7
From the given ratio,
number of red beads = 4x
number of purple beads= 6x
number of green beads= 7x
There are 1428 more green beads than red beads.
green beads =1428 + red beads
[tex]7x=1428+4x\\3x=1428\\x=476[/tex]
we know that number of green beads= 7x
number of green beads= [tex]7(476)=3332[/tex]
There are 3,332 greed beads in the box
learn more : brainly.com/question/20318626
Which is the graph of the function f(x) = -√x
Answer:
1st Graph
Step-by-step explanation:
Easiest and quickest way is to graph the function in a graphing calc and then choosing the best answer.
Maria, Max, Molly, and Mitch are all picking apples at an orchard. The number of apples Max picks is the number of apples Maria picks squared. Molly picks the number of apples that Max and Maria pick combined. Mitch picks the number of apples Molly picks squared plus the number of apples that Maria picks. If Maria picks 3 apples, then how many apples does Mitch pick
Answer:
147
Step-by-step explanation:
Given: Maria=3
Max=3 squared=9
Molly=Max+Maria=9+3=12
Mitch=Molly squared+Maria=144+3=147
Hope this helps!
Solution:
Since Max picks the number of apples that Maria does but squared, then Max picks 3^2=3 * 3=9 apples. Since Molly picks the number of apples that Maria picks plus the number that Max picks, Molly picks 3+9=12 apples. Finally, Mitch picks the number Molly picks squared plus the number Maria picks, so Mitch picks 12^2+3=12 * 12 +3=144+3=147 apples.
Which point is in Quadrant IV?
Answer:
1,1 or -1,3
Step-by-step explanation:
Answer:
h
Step-by-step explanation:
bottom right quadrant is IV
Solve 2cos ²y -siny -1=0 for 0° ≤y≤360°
[tex]\displaystyle\bf\\2cos^2y -sin\,y -1=0~~~for~~0^o\leq y \leq360^o\\\\cos^2y=1-sin^2y\\\\2(1-sin^2y) -sin\,y -1=0\\\\2-2sin^2y-sin\,y-1=0\\\\-2sin^2y-sin\,y+2-1=0\\\\-2sin^2y-sin\,y+1=0~~~\Big|\times(-1)\\\\2sin^2y+sin\,y-1=0[/tex]
.
[tex]\displaystyle\bf\\\boxed{\bf sin\,y=x}\\\\2x^2+x-1=0\\\\x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-1\pm\sqrt{1-4\cdot2\cdot(-1)}}{2\cdot2}=\\\\=\frac{-1\pm\sqrt{1+8}}{4}=\frac{-1\pm\sqrt{9}}{4}=\frac{-1\pm3}{4}\\\\x_1=\frac{-1+3}{4}=\frac{2}{4}=\boxed{\bf\frac{1}{2}}\\\\x_2=\frac{-1-3}{4}=\frac{-4}{4}=\boxed{\bf-1}\\\\sin\,y=\frac{1}{2}\\\\\boxed{\bf y_1=\frac{\pi}{6}~~or~~(30^o)}\\\\\boxed{\bf y_2=\frac{5\pi}{6}~~or~~(150^o)}\\\\sin\,y=-1\\\\\boxed{\bf y_3=\frac{3\pi}{2}~~or~~(270^o)}[/tex]
On Monday, Crisitan groomed 15 dogs in 10 hours and Kenneth groomed 10 dogs in 8 hours. If they each make $12.75 per dog, how much did they each make on Monday?
Answer:
Christian made $191.25 and Kenneth made $127.50 each.
Step-by-step explanation:
With each dog, you multiply how many dogs with the amount of cash they get each dog.
Christian: 15x12.75= $191.25
Kenneth: 10x12.75= $127.50
So you just multiply the amount of dogs with money :)
2p+8=20-p what is the value of p??
Answer:
4
Step-by-step explanation:
3p+8=20
3p=12
p=4
Answer:p=4
Step-by-step explanation:
2p+8=-p+20
Step 2: Add p to both sides.
2p+8+p=-p+20+p
3p+8=20
Step 3: Subtract 8 from both sides.
3p+8-8=20-8
3p=12
Step 4: Divide both sides by 3.
3p/3=12/3
p=4
Election Three candidates run for an office in a local election. In all, 12,936 votes
are cast, and the breakdown of votes for the three candidates is in the extended ra
3:4:5. Find the actual numbers of votes cast for the three candidates.
Answer:
3234
4312
5390
Step-by-step explanation:
3x +4x + 5x = 12936
12x = 12936
Write as an expression: Twice the square of the product of x and y
Answer:
2* (xy)^2
Step-by-step explanation:
First find the product of x and y
xy
The square it
(xy)^2
The twice it ( multiply by 2
2* (xy)^2
If y varies directly with x, and y is 14 when x is 2,
what is the value of x when y is 35?
X =
DONER
nt of
Answer: x = 5
Step-by-step explanation:
14 / 2 = 7
7 * 5 = 35
Same applies for x
2 / 2 = 1
1 * 5 = 5
given that2025=
[tex] {3}^{k \times } {5}^{t} [/tex]
state the values of k and t
Answer:
k = 4, t = 2
Step-by-step explanation:
Express 2025 as a product of its prime factors
2025 = [tex]3^{4}[/tex] × 5², that is
[tex]3^{4}[/tex] × 5² = [tex]3^{k}[/tex] × [tex]5^{t}[/tex]
Comparing exponents of same bases on both sides, gives
k = 4 and t = 2
Here is a list of numbers.
13 27 81 21 43 48 23 39 45
From this list, write down
a) The even number.
48
b) The square number.
81
c) All the prime numbers.
Answer:
13,27,43,23,39.
i think these r the prime numbers
The prime numbers are:
13, 43, 23
Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2-5-8
b) -7 -12 -17 -22 -27
Answer:
a: -3n+1
b:-5n-2
Step-by-step explanation:
a: it is -3+1 because you can see that the sequence is going down by 3, so it is the 3 times table, but because the number is 4, and 4 is 1 more than 3, you put plus one at the end. :)
b: similar to the last, it's going down by five, but it is two less this time, so you put minus two instead.
Hope this helps :),
Lily
3 quarts but in cups
Answer:
12 cups
Step-by-step explanation:
there are 4 cups in 1 quart. You multiply both of them by 3 so there are 12 cups in 3 quarts
Answer:
12 cups
Step-by-step explanation:
1 quart = 4 cups
4*3 = 12
12 cups
brainliest??